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                [SCOI2003]切割多边形                </h1>
                <p>时间限制：1s&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;  空间限制：128MB</p>			</div>
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                                <h3>题目描述</h3><p><p><span style="font-size: medium;">　　有一个凸p边形(p&lt;=8)，我们希望通过切割得到它。一开始的时候，你有一个n*m的矩形，即它的四角的坐标分<br />
别为(0,0), (0,m), (n,0), (n,m)。每次你可以选择一条直线把当前图形切割成两部分，保留其中一个部分（另一<br />
部分扔掉）切割线的长度为此直线在多边形内部的部分的长度。求出最短的切割线总长度。下面是一个例子。我们<br />
需要得到中间的多边形。<br />
</span></p>
<p><span style="font-size: medium;"> <img border="0" alt="" src="../file/1091_0.jpg" /> </span></p>
<p><span style="font-size: medium;">　　分别沿着直线1，2，3，4进行切割即可，得到中间的四边形。<br />
</span></p></p><hr/><h3>输入格式</h3><p><p>　　第一行有两个整数n, m(0 &lt; n,m &lt; 500)，第二行为一个整数p(3&lt;=p&lt;=8)。以下p行每行为两个整数x, y(0 &lt; x<br />
&nbsp;&lt; n, 0 &lt; y &lt; m)，为按顺时针给出的各顶点坐标。数据保证多边形的是凸的，无三点共线。输入数据无错误。</p></p><hr/><h3>输出格式</h3><p><p>　　仅一行，为最短切割线的总长度，四舍五入到小数点后3位。允许有0.001的误差。</p></p><hr/><h3>样例输入</h3><pre>100 100
4
80 80
70 30
20 20
20 80</pre><hr/><h3>样例输出</h3><pre>312.575</pre><hr/><h3>提示</h3><p><p><span style="font-size: medium;">样例对应于图中给出的例子。</span></p></p><hr/><h3>题目来源</h3><p>没有写明来源</p>
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